What are the exact values of a and b?

Option D

Step-by-step explanation:

This here is a 30 - 60 - 90 triangle, knowing that two of the angles are given to be 30 degrees, and 90 degrees.

By leg opposite to 30 degree angle, a should be 2 times less the length of the hypotenuse. In other words, the hypotenuse AB = 2x, while a = x, so a = 1 / 2 * hypotenuse ( AB ) = 1 / 2 * 10 = 5 units.

Now leg b has a length of x√3 by leg opposite to 60 degree angle, the 60 degree angles being m∠ABC. a = 5 units = x, so b should = 5√3,

a = 5, b = 5√3

Solution = Option D

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